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Simplifying 7 + 3r + -3 = 6r + 5 + -4r Reorder the terms: 7 + -3 + 3r = 6r + 5 + -4r Combine like terms: 7 + -3 = 4 4 + 3r = 6r + 5 + -4r Reorder the terms: 4 + 3r = 5 + 6r + -4r Combine like terms: 6r + -4r = 2r 4 + 3r = 5 + 2r Solving 4 + 3r = 5 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 4 + 3r + -2r = 5 + 2r + -2r Combine like terms: 3r + -2r = 1r 4 + 1r = 5 + 2r + -2r Combine like terms: 2r + -2r = 0 4 + 1r = 5 + 0 4 + 1r = 5 Add '-4' to each side of the equation. 4 + -4 + 1r = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 1r = 5 + -4 1r = 5 + -4 Combine like terms: 5 + -4 = 1 1r = 1 Divide each side by '1'. r = 1 Simplifying r = 1
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